GCF of 24/25, 597/74, 739/998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 24/25, 597/74, 739/998 i.e 1/923150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/25, 597/74, 739/998.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 24/25,597/74,739/998?
Given fractions are 24/25,597/74,739/998
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 24/25,597/74,739/998, numerators are 24,597,739
Denominators are 25,74,998
The GCF of 24,597,739 is 1 .
LCM of 25,74,998 is 923150.
The greatest common factor of 24/25,597/74,739/998 = [GCF of 24,597,739]/[LCM of 25,74,998]= 1/923150
Therefore, the GCF of 24/25,597/74,739/998 is 1/923150.
To find the highest common factor of 24,597,739, we have to find the factors of both numbers and list the highest common factor.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 597 are 1, 3, 199, 597
The factors of 739 are 1, 739
The HCF of 24,597,739 is 1.
Lets's calculate GCF of 24,597,739
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 24,597,739 By Matching Biggest Common Factor Method
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 597
:1,3,199,597
Now, list down the factors of 739
:1,739
Greatest Common Factor
We found the factors 24,597,739 . The biggest common factor number is the GCF number.
So the greatest common factor 24,597,739 is 1.
Lets's calculate LCM of 25,74,998
| 2 | 25, 74, 998 |
| 25, 37, 499 |
∴ So the LCM of the given numbers is 2 x 25 x 37 x 499 = 923150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/923150
Therefore, the GCF of Fractions 24/25,597/74,739/998 is 1/923150
Least Common Multiple of 25,74,998 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 25,74,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,74,998) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(25,74,998) x common factors =1 x 2 = 2
LCM(25,74,998) = ( 25 × 74 × 998 ) / 2
LCM(25,74,998) = 1846300 / 2
LCM(25,74,998) = 923150
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FAQs on GCF of Fractions of 24/25, 597/74, 739/998
1. What is the HCF of 24,597,739?
The HCF of 24,597,739 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 24/25, 597/74, 739/998?
Answer: GCF of Numerators as per given numbers 24/25, 597/74, 739/998 is
GCF of Numerators i.e. for 24,597,739 is 1
LCM of denominators i.e. for 25,74,998 is 923150.
Thus, GCF of Fractions is 1/923150.Finally, GCF of Fractions for 24/25, 597/74, 739/998 is 1/923150.